Results 11 to 20 of about 173,448 (222)
Machine Learning Line Bundle Cohomology [PDF]
Fortschritte der Physik, 2019 We investigate different approaches to machine learning of line bundle cohomology on complex surfaces as well as on Calabi‐Yau three‐folds. Standard function learning based on simple fully connected networks with logistic sigmoids is reviewed and its ...
Callum R. Brodie +3 more
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On Rham cohomology of locally trivial Lie groupoids over triangulated manifolds
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 Based on the isomorphism between Lie algebroid cohomology and piecewise smooth cohomology of a transitive Lie algebroid, it is proved that the Rham cohomology of a locally trivial Lie groupoid G on a smooth manifold M is isomorphic to the piecewise Rham ...
Jose R. Oliveira
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Cohomologies of n-Lie Algebras with Derivations
Mathematics, 2021 The goal of this paper is to study cohomological theory of n-Lie algebras with derivations. We define the representation of an n-LieDer pair and consider its cohomology.
Qinxiu Sun, Zhixiang Wu
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Symmetry protected topological phases and generalized cohomology [PDF]
Journal of High Energy Physics, 2017 We discuss the classification of SPT phases in condensed matter systems. We review Kitaev’s argument that SPT phases are classified by a generalized cohomology theory, valued in the spectrum of gapped physical systems [20, 23].
D. Gaiotto, T. Johnson-Freyd
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Splitting Extensions of Nonassociative Algebras and Modules with Metagroup Relations
Axioms, 2022 A class of nonassociative algebras is investigated with mild relations induced from metagroup structures. Modules over nonassociative algebras are studied. For a class of modules over nonassociative algebras, their extensions and splitting extensions are
Sergey Victor Ludkowski
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Cheeger-Simons differential characters with compact support and Pontryagin duality [PDF]
, 2019 By adapting the Cheeger-Simons approach to differential cohomology, we establish a notion of differential cohomology with compact support. We show that it is functorial with respect to open embeddings and that it fits into a natural diagram of exact ...
Becker, Christian +3 more
core +3 more sources
Etale cohomology of diamonds [PDF]
, 2017 Motivated by problems on the etale cohomology of Rapoport--Zink spaces and their generalizations, as well as Fargues's geometrization conjecture for the local Langlands correspondence, we develop a six functor formalism for the etale cohomology of ...
P. Scholze
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THE INTEGRAL COHOMOLOGY OF THE HILBERT SCHEME OF TWO POINTS
Forum of Mathematics, Sigma, 2016 The Hilbert scheme $X^{[a]}$ of points on a complex manifold $X$
BURT TOTARO
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Satellites of Functors for Nonassociative Algebras with Metagroup Relations
Mathematics, 2022 The article is devoted to non-associative algebras with metagroup relations and modules over them. Their functors are studied. Satellites of functors are scrutinized. An exactness of satellite sequences and diagrams is investigated.
Sergey Victor Ludkowski
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A Cohomology Theory for Commutative Monoids
Mathematics, 2015 Extending Eilenberg–Mac Lane’s cohomology of abelian groups, a cohomology theory is introduced for commutative monoids. The cohomology groups in this theory agree with the pre-existing ones by Grillet in low dimensions, but they differ beyond dimension ...
María Calvo-Cervera, Antonio M. Cegarra
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